{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Time series outlier detection with Spectral Residuals on synthetic data\n",
    "\n",
    "## Method\n",
    "\n",
    "The Spectral Residual outlier detector is based on the paper [Time-Series Anomaly Detection Service at Microsoft](https://arxiv.org/abs/1906.03821) and is suitable for unsupervised online anomaly detection in univariate time series data. The algorithm first computes the [Fourier Transform](https://en.wikipedia.org/wiki/Fourier_transform) of the original data. Then it computes the *spectral residual* of the log amplitude of the transformed signal before applying the Inverse Fourier Transform to map the sequence back from the frequency to the time domain. This sequence is called the *saliency map*. The anomaly score is then computed as the relative difference between the saliency map values and their moving averages. If this score is above a threshold, the value at a specific timestep is flagged as an outlier. For more details, please check out the [paper](https://arxiv.org/abs/1906.03821).\n",
    "\n",
    "## Dataset\n",
    "\n",
    "We test the outlier detector on a synthetic dataset generated with the [TimeSynth](https://github.com/TimeSynth/TimeSynth) package. It allows you to generate a wide range of time series (e.g. pseudo-periodic, autoregressive or Gaussian Process generated signals) and noise types (white or red noise). It can be installed as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install git+https://github.com/TimeSynth/TimeSynth.git"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additionally, this notebook requires the `seaborn` package for visualization which can be installed via `pip`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install seaborn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from sklearn.metrics import accuracy_score, confusion_matrix, f1_score, recall_score\n",
    "import timesynth as ts\n",
    "\n",
    "from alibi_detect.od import SpectralResidual\n",
    "from alibi_detect.utils.perturbation import inject_outlier_ts\n",
    "from alibi_detect.saving import save_detector, load_detector\n",
    "from alibi_detect.utils.visualize import plot_instance_score, plot_feature_outlier_ts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create univariate time series\n",
    "\n",
    "Define number of sampled points and the type of simulated time series. We use [TimeSynth](https://github.com/TimeSynth/TimeSynth) to generate a sinusoidal signal with Gaussian noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_points = 100000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100000, 1)\n"
     ]
    }
   ],
   "source": [
    "# timestamps\n",
    "time_sampler = ts.TimeSampler(stop_time=n_points // 4)\n",
    "time_samples = time_sampler.sample_regular_time(num_points=n_points)\n",
    "\n",
    "# harmonic time series with Gaussian noise\n",
    "sinusoid = ts.signals.Sinusoidal(frequency=0.25)\n",
    "white_noise = ts.noise.GaussianNoise(std=0.1)\n",
    "ts_harm = ts.TimeSeries(signal_generator=sinusoid, noise_generator=white_noise)\n",
    "samples, signals, errors = ts_harm.sample(time_samples)\n",
    "X = samples.reshape(-1, 1).astype(np.float32)\n",
    "print(X.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can inject noise in the time series via `inject_outlier_ts`. The noise can be regulated via the percentage of outliers (`perc_outlier`), the strength of the perturbation (`n_std`) and the minimum size of the noise perturbation (`min_std`):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100000, 1) (100000,)\n"
     ]
    }
   ],
   "source": [
    "data = inject_outlier_ts(X, perc_outlier=10, perc_window=10, n_std=2., min_std=1.)\n",
    "X_outlier, y_outlier, labels = data.data, data.target.astype(int), data.target_names\n",
    "print(X_outlier.shape, y_outlier.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize part of the original and perturbed time series:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_plot = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(time_samples[:n_plot], X[:n_plot], marker='o', markersize=4, label='sample')\n",
    "plt.plot(time_samples[:n_plot], signals[:n_plot], marker='*', markersize=4, label='signal')\n",
    "plt.plot(time_samples[:n_plot], errors[:n_plot], marker='.', markersize=4, label='noise')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Magnitude')\n",
    "plt.title('Original sinusoid with noise')\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perturbed data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(time_samples[:n_plot], X[:n_plot], marker='o', markersize=4, label='original')\n",
    "plt.plot(time_samples[:n_plot], X_outlier[:n_plot], marker='*', markersize=4, label='perturbed')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Magnitude')\n",
    "plt.title('Original vs. perturbed data')\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define Spectral Residual outlier detector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No threshold level set. Need to infer threshold using `infer_threshold`.\n"
     ]
    }
   ],
   "source": [
    "od = SpectralResidual(\n",
    "    threshold=None,                  # threshold for outlier score\n",
    "    window_amp=20,                   # window for the average log amplitude\n",
    "    window_local=20,                 # window for the average saliency map\n",
    "    n_est_points=20,                 # nb of estimated points padded to the end of the sequence\n",
    "    padding_amp_method='reflect',    # padding method to be used prior to each convolution over log amplitude.\n",
    "    padding_local_method='reflect',  # padding method to be used prior to each convolution over saliency map.\n",
    "    padding_amp_side='bilateral'     # whether to pad the amplitudes on both sides or only on one side. \n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note that for the local convolution we pad the signal internally only on the left, following the paper's recommendation.**\n",
    "\n",
    "The warning tells us that we need to set the outlier threshold. This can be done with the `infer_threshold` method. We need to pass a batch of instances and specify what percentage of those we consider to be normal via `threshold_perc`. Let's assume we have some data which we know contains around 10% outliers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_threshold = X_outlier[:10000, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's infer the threshold:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New threshold: 1.3632\n"
     ]
    }
   ],
   "source": [
    "od.infer_threshold(X_threshold, time_samples[:10000], threshold_perc=90)\n",
    "print('New threshold: {:.4f}'.format(od.threshold))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's save the outlier detector with the updated threshold:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Directory my_path does not exist and is now created.\n"
     ]
    }
   ],
   "source": [
    "filepath = 'my_path'\n",
    "save_detector(od, filepath)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can load the same detector via `load_detector`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "od = load_detector(filepath)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Detect outliers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predict outliers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "od_preds = od.predict(X_outlier, time_samples, return_instance_score=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Display results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "F1 score, accuracy, recall and confusion matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F1 score: 0.8983600019939185 -- Accuracy: 0.97961 -- Recall: 0.9011\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = od_preds['data']['is_outlier']\n",
    "f1 = f1_score(y_outlier, y_pred)\n",
    "acc = accuracy_score(y_outlier, y_pred)\n",
    "rec = recall_score(y_outlier, y_pred)\n",
    "print('F1 score: {} -- Accuracy: {} -- Recall: {}'.format(f1, acc, rec))\n",
    "cm = confusion_matrix(y_outlier, y_pred)\n",
    "df_cm = pd.DataFrame(cm, index=labels, columns=labels)\n",
    "sns.heatmap(df_cm, annot=True, cbar=True, linewidths=.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the outlier scores of the time series vs. the outlier threshold. :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_instance_score(od_preds, y_outlier, labels, od.threshold)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's zoom in on a smaller time scale to have a clear picture:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_feature_outlier_ts(od_preds, \n",
    "                        X_outlier, \n",
    "                        od.threshold,\n",
    "                        window=(1000, 1050),\n",
    "                        t=time_samples,\n",
    "                        X_orig=X)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
